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Prof. Dr. Sergey Germanovich Bobkov

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietAnalysis, Differentialgleichungen,Stochastik, Wahrscheinlichkeitstheorie
Keywordsentropy and information, limit theorems, high dimensional phenomena, concentration, isoperimetric inequalities

Aktuelle Kontaktadresse

LandUSA
OrtMinneapolis
Universität/InstitutionUniversity of Minnesota
Institut/AbteilungSchool of Mathematics

Gastgeber*innen während der Förderung

Prof. Friedrich GötzeFakultät für Mathematik, Universität Bielefeld, Bielefeld
Prof. Dr. Alexander Grigor'yanFakultät für Mathematik, Universität Bielefeld, Bielefeld
Beginn der ersten Förderung01.02.1996

Programm(e)

1995Humboldt-Forschungsstipendien-Programm
2013Humboldt-Forschungspreis-Programm für Naturwissenschaftler*innen aus den USA

Projektbeschreibung der*des Nominierenden

Professor Bobkov is well known internationally for his outstanding research in mathematics on the border of probability theory, analysis, convex geometry and information theory. He has obtained important results about isoperimetric problems, concentration of measure and other high-dimensional phenomena. In Germany, he continues his studies on information-theoretic distances in limit theorems of probability theory.

Publikationen (Auswahl)

2017Sergey Bobkov: Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders. In: Eric Carlen, Mokshay Madiman, Elisabeth Werner, The IMA Volumes in Mathematics and its Applications. Concentration, Convexity and Discrete Structures. Springer, 2017. 297-357
2017Sergey Bobkov: Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances. In: Probability Theory and Related Fields, 2017,
2017Sergey Bobkov: Concentration properties of restricted measures with applications to non-Lipschitz functions. In: Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics, 2017, 25-53
2016Sergey Bobkov: Closeness of probability distributions in terms of Fourier-Stieltjes transforms. In: Russian Math. Surveys, 2016, 1021-1079
2016Sergey Bobkov, James Melbourne: Hyperbolic measures on infinite dimensional spaces. In: Probability Surveys, 2016, 57-88
2016Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze: Regularized distributions and entropic stability of Cramer's characterization of the normal law. In: Stochastic Processes and their Applications, 2016, 3865-3887
2016Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze: Second order concentration on the sphere. In: Communications in Comtemporary Mathematics, 2016,
2016Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze: Stability of Cramer's characterization of normal laws in information distances. In: Christian Houdre, David Mason, Patricia Reynaud-Bouret, Jan Rosinski, High dimensional probability VII: The Cargese Volume. Progress in Probability. Birkhauser, Springer, 2016. 3-35
Sergey Bobkov: On isoperimetric functions of probability measures having log-concave densities with respect to the standard normal law. In: Eric Carlen, Mokshay Madiman, Elisabeth Werner, The IMA Volumes in Mathematics and its Applications. Concentration, Convexity and Discrete Structures. Springer, . 577-583